The record has thus charted for 13 weeks by far for the date ending September 17. In the following weeks, the song climbed up, eventually reaching a new peak of number 40, becoming his second top 40 hit as a lead artist and fourth overall, and his second highest position behind 2014's ' Studio', which peaked at number 38, two years earlier. The following week, the single completely fell off of the chart, however, on the chart dated July 2, the song re-entered at a new peak of number 76, due to the announcement and anticipation of his then-upcoming album Blank Face LP. In the US, on the Billboard chart dated June 4, 2016, 'That Part' made a debut at number 92 on the chart. The remix was later released for purchase via digital distribution on July 16.
'That Part' was later remixed, featuring new verses from Schoolboy Q and his Black Hippy cohorts Jay Rock, Kendrick Lamar and Ab-Soul, which was released on July 8, 2016. In June 2016, Schoolboy Q performed a live rendition of 'That Part', in a medley with 'Groovy Tony', on The Late Show with Stephen Colbert. As of September 2020, the music video has accumulated over 187 million views, making it his most viewed video on his Vevo channel.
The song's music video, directed by Colin Tilley, was released on June 2, 2016. German magazine Juice named it the fourth best international rap song of 2016.